In this paper we described an Abelian gauge theory exhibiting a confining potential at large distance. This unexpected
result, at least in ordinary Maxwell electrodynamics, is achieved by coupling the vector field to a Kalb-Ramond field.
Furthermore, both fields acquire mass via the Higgs mechanism implemented through one complex and one neutral scalar field.
The Higgs fields are then frozen in their respective non-trivial vacua in which dynamical
fields propagate. Integrating out the Goldstone mode and the Kalb-Ramond field one obtains
a non-local effective theory for the vector gauge field.
The resulting model resembles Lee-Wick higher derivative electrodynamics
[1]}, [2]}, [3]}, [4]}, [5]}, but with an important difference: the
former model was originally introduced in order to regularize short distance behavior of \(QED\) . In the static limit.
the interaction potential energy is finite and linearly dependent on the distance between charges. The Coulomb behavior
is recovered at large distances.
On the other hand, confinement is characterized by the linear behavior but at large distances.
